已知各项均为正实数的数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\)，\(4S_{n}=a_{n}^{2}+2a_{n}-3\)对于一切\(n∈N^{*}\)成立．
\((\)Ⅰ\()\)求\(a_{1}\)；
\((\)Ⅱ\()\)求数列\(\{a_{n}\}\)的通项公式；
\((\)Ⅲ\()\)设\(b_{n}= \sqrt {2^{a_{n}-1}},T_{n}\)为数列\(\{ \dfrac {a_{n}}{b_{n}}\}\)的前\(n\)项和，求证\(T_{n} < 5\)．